7. Angela has $75. She wants to buy a
doorbell ($15) and hockey sticks. She
spends the rest of the money on hockey
sticks. Each hockey stick is $5. How many
hockey sticks can she purchase?

Subtract the doorbell from what she can spend to find the amount she can spend on hockey sticks:

75-15 =60

Divide that amount by the price of a hockey stick:

60/5 =12

She can buy 12 hockey sticks.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

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step-by-step explanation: